SOLUTION: in the past year, 13%of businesses have eleminated jobs. if five businesses are randomly selected, find the probability that at least three eliminated jobs during the year.

Hi,

Note: The probability of x successes in n trials is: 

P = nCx*  where p and q are the probabilities of success and failure respectively. 

In this case p = .13 , q = .87  and n = 5 

nCx = 

P(at least 3 of the five eliminated jobs) = 1 - P(0) -P(1) -P(2)

P(0) = .4984  (.87)^5

P(1) = .3724  5*(.13)^1(.87)^4

P(2) = .1113  10*(.13)^2(.87)^3



P(at least 3 of the five eliminated jobs) = 1 - .9821 = .0179